Least Common Multiple of 1354/976, 3020/8912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1354/976, 3020/8912 quickly i.e. 2044540/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1354/976, 3020/8912 is 2044540/16.

LCM(1354/976, 3020/8912) = 2044540/16

LCM of 1354/976, 3020/8912

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1354/976,3020/8912

Given numbers are 1354/976,3020/8912

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 1354,3020

Least Common Multiple of Numerators i.e. LCM of 1354,3020 is 2044540.

GCF of Denominators means GCF of 976,8912 as per the given fractions.

GCF of 976,8912 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1354,3020

LCM of Fractions 1354/976,3020/8912 is 2044540/16

2 1354, 3020
677, 1510

∴ So the LCM of the given numbers is 2 x 677 x 1510 = 2044540

Least Common Multiple of 1354,3020 with GCF Formula

Least Common Multiple of 1354,3020 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1354,3020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1354,3020) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(1354,3020) x common factors =2 x 1 = 2

LCM(1354,3020) = ( 1354 × 3020 ) / 2

LCM(1354,3020) = 4089080 / 2

LCM(1354,3020) = 2044540


Lets's calculate GCF of 976,8912

2 976, 8912
2 488, 4456
2 244, 2228
2 122, 1114
61, 557

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2044540/16

Therefore the LCM of Fractions 1354/976,3020/8912 is 2044540/16

Greatest Common Factor of 976,8912 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,8912 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 8912

List of positive integer factors of 8912 that divides 8912 without a remainder.

1,2,4,8,16,557,1114,2228,4456,8912

Greatest Common Factor

We found the factors 976,8912 . The biggest common factor number is the GCF number.
So the greatest common factor 976,8912 is 16.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1354/976, 3020/8912

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 1354/976, 3020/8912?

Answer: LCM of Numerators as per given numbers 1354/976, 3020/8912 is

LCM of Numerators i.e. for 1354,3020 is 2044540

GCF of denominators i.e. for 976,8912 is 16.

Thus, LCM of Fractions is 2044540/16.Finally, LCM of Fractions for 1354/976, 3020/8912 is 2044540/16.